-Rx+Sy=-T

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Solution for -Rx+Sy=-T equation: 


Simplifying
-1Rx + Sy = -1T

Solving
-1xR + yS = -1T

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1yS' to each side of the equation.
-1xR + yS + -1yS = -1T + -1yS

Combine like terms: yS + -1yS = 0
-1xR + 0 = -1T + -1yS
-1xR = -1T + -1yS

Divide each side by '-1R'.
x = R-1T + yR-1S

Simplifying
x = R-1T + yR-1S

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